g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".

So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

The hypotheses are as below:

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

6 meters

step-by-step explanation: